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In the equation \( y = -4x + 6 \), this is in the slope-intercept form \( y = mx + b \), where:

- \( m \) is the slope.
- \( b \) is the y-intercept.

From the equation:
- The slope (\( m \)) is the coefficient of \( x \), which is \( -4 \).
- The y-intercept (\( b \)) is the constant term, which is \( 6 \).

### Correct answers:
- **The slope is** \( -4 \).
- **The y-intercept is** \( 6 \).

Let me know if you need any more details, or have any questions!

Here are some related questions you might want to explore:
1. How do you derive the equation of a line from two points?
2. What happens to the graph of a line when you change its slope?
3. How can you determine if two lines are parallel or perpendicular based on their slopes?
4. How do you convert a line from slope-intercept form to standard form?
5. What is the significance of the y-intercept in a real-world context?

**Tip:** Always remember, the slope tells you how steep the line is, while the y-intercept is where the line crosses the y-axis!

Identify the slope and y-intercept of the equation y = -4x + 6.

Identify the slope and y-intercept of the linear equation y = -4x + 6. Learn how to extract the slope and y-intercept from a line in slope-intercept form. Suitable for students in Grades 7-10.

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